Question

Find the polar co-ordinates of points whose
cartesian co ordinates are :(-1,-1)​

Answer 1

ANSWER

Rectangular to polar coordinate, (x,y)⟶(r,θ)

radius,r can be found by using , r=

x

2

+y

2

r=

(−1)

2

+(−1)

2

=

2

θ can be found using the reference angle:tanθ=

x

y

tanθ=

−1

−1

⟹tanθ=1⟹θ=tan

−1

1=

θ=

4

−3π

As the point (-1-1) lies at Quadrant

iii)i.e, θ=

4

−3π

From (r,θ)=(

2

,

4

−3π

)